Implement a custom reverse that builds absolute URLs with a request object

djangorestframework/utils/__init__.py

 from django.utils.encoding import smart_unicode
 from django.utils.xmlutils import SimplerXMLGenerator
-from django.core.urlresolvers import resolve, reverse
+from django.core.urlresolvers import resolve, reverse as django_reverse
 from django.conf import settings
 
 from djangorestframework.compat import StringIO
@@ -174,5 +174,6 @@ class XMLRenderer():
 def dict2xml(input):
     return XMLRenderer().dict2xml(input)
 
-def reverse(viewname, urlconf=None, args=None, kwargs=None, prefix=None, current_app=None):
-    raise NotImplementedError
+
+def reverse(viewname, request, *args, **kwargs):
+    return request.build_absolute_uri(django_reverse(viewname, *args, **kwargs))